sin(θ)=-12/13

Lösung

sin (θ) = - \frac{12}{13}

θ = - 1.17600 \dots + 2 πn, θ = π + 1.17600 \dots + 2 πn

Grad

θ = - 67.38013 \dots^{\circ} + 36 0^{\circ} n, θ = 247.38013 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (θ) = - \frac{12}{13}

Wende die Eigenschaften der Trigonometrie an

sin (θ) = - \frac{12}{13}

Allgemeine Lösung für

sin (θ) = - \frac{12}{13}

sin (x) = - a \Rightarrow x = arcsin (- a) + 2 πn, x = π + arcsin (a) + 2 πn

θ = arcsin (- \frac{12}{13}) + 2 πn, θ = π + arcsin (\frac{12}{13}) + 2 πn

θ = arcsin (- \frac{12}{13}) + 2 πn, θ = π + arcsin (\frac{12}{13}) + 2 πn

Zeige Lösungen in Dezimalform

θ = - 1.17600 \dots + 2 πn, θ = π + 1.17600 \dots + 2 πn

sin (x) cos (x) = - \frac{1}{4}

sec^{2} (θ) - 9 = 0

2 cos^{2} (θ) = 2 - sin (θ)

cos (x + 1) = 0

sec^{2} (x) + tan^{2} (x) = 7